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dc.contributor.author
Suzuki, Jun
dc.contributor.author
Yang, Yuxiang
dc.contributor.author
Hayashi, Masahito
dc.date.accessioned
2020-10-26T13:21:06Z
dc.date.available
2020-10-24T08:37:49Z
dc.date.available
2020-10-26T13:21:06Z
dc.date.issued
2020-11
dc.identifier.issn
1751-8113
dc.identifier.issn
1361-6447
dc.identifier.other
10.1088/1751-8121/ab8b78
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/447674
dc.description.abstract
In parameter estimation, nuisance parameters refer to parameters that are not of interest but nevertheless affect the precision of estimating other parameters of interest. For instance, the strength of noises in a probe can be regarded as a nuisance parameter. Despite its long history in classical statistics, the nuisance parameter problem in quantum estimation remains largely unexplored. The goal of this article is to provide a systematic review of quantum estimation in the presence of nuisance parameters, and to supply those who work in quantum tomography and quantum metrology with tools to tackle relevant problems. After an introduction to the nuisance parameter and quantum estimation theory, we explicitly formulate the problem of quantum state estimation with nuisance parameters. We extend quantum Cramér–Rao bounds to the nuisance parameter case and provide a parameter orthogonalization tool to separate the nuisance parameters from the parameters of interest. In particular, we put more focus on the case of one-parameter estimation in the presence of nuisance parameters, as it is most frequently encountered in practice.
en_US
dc.language.iso
en
en_US
dc.publisher
Institute of Physics
en_US
dc.subject
quantum state estimation
en_US
dc.subject
nuisance parameter
en_US
dc.subject
quantum Cramér-Rao bounds
en_US
dc.title
Quantum state estimation with nuisance parameters
en_US
dc.type
Review Article
dc.date.published
2020-10-20
ethz.journal.title
Journal of Physics A: Mathematical and Theoretical
ethz.journal.volume
53
en_US
ethz.journal.issue
45
en_US
ethz.journal.abbreviated
J. Phys. A: Math. Theor.
ethz.pages.start
453001
en_US
ethz.size
61 p.
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Bristol
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03781 - Renner, Renato / Renner, Renato
en_US
ethz.date.deposited
2020-10-24T08:37:59Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2020-10-26T13:21:20Z
ethz.rosetta.lastUpdated
2021-02-15T19:20:17Z
ethz.rosetta.versionExported
true
ethz.COinS
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